Abstract

We show that the space of compact lagrangian submanifolds of a symplectic 4-manifold is a coisotropic submanifold of the space of all codimension two submanifolds, the latter being equipped with a natural symplectic structure. The characteristic foliation of this coisotropic submanifold is shown to coincide with the isodrastic foliation of Weinstein. We also show that the space of lagrangian submanifolds diffeomorphic to the 2-sphere is a lagrangian submanifold.

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